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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A univalent function nowhere semiconformal on the unit circle


Author: Shinji Yamashita
Journal: Proc. Amer. Math. Soc. 69 (1978), 85-86
MSC: Primary 30A36; Secondary 30A30
DOI: https://doi.org/10.1090/S0002-9939-1978-0466525-6
MathSciNet review: 0466525
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Abstract: We shall construct a function f holomorphic and univalent in the open unit disk such that f is not semiconformal at any point of the unit circle. It is also shown that f may be extended quasiconformally to the whole extended plane.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0466525-6
Article copyright: © Copyright 1978 American Mathematical Society